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Simplifying 6(w + 4) + -4w = -2(-1W + -9) + 6 Reorder the terms: 6(4 + w) + -4w = -2(-1W + -9) + 6 (4 * 6 + w * 6) + -4w = -2(-1W + -9) + 6 (24 + 6w) + -4w = -2(-1W + -9) + 6 Combine like terms: 6w + -4w = 2w 24 + 2w = -2(-1W + -9) + 6 Reorder the terms: 24 + 2w = -2(-9 + -1W) + 6 24 + 2w = (-9 * -2 + -1W * -2) + 6 24 + 2w = (18 + 2W) + 6 Reorder the terms: 24 + 2w = 18 + 6 + 2W Combine like terms: 18 + 6 = 24 24 + 2w = 24 + 2W Add '-24' to each side of the equation. 24 + -24 + 2w = 24 + -24 + 2W Combine like terms: 24 + -24 = 0 0 + 2w = 24 + -24 + 2W 2w = 24 + -24 + 2W Combine like terms: 24 + -24 = 0 2w = 0 + 2W 2w = 2W Solving 2w = 2W Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Divide each side by '2'. w = W Simplifying w = W
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